488503680 has 256 divisors, whose sum is σ = 1874188800. Its totient is φ = 105725952.

The previous prime is 488503679. The next prime is 488503723. The reversal of 488503680 is 86305884.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254404 + ... + 256316.

It is an arithmetic number, because the mean of its divisors is an integer number (7321050).

Almost surely, 2^488503680 is an apocalyptic number.

488503680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937094400).

488503680 is an abundant number, since it is smaller than the sum of its proper divisors (1385685120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

488503680 is a wasteful number, since it uses less digits than its factorization.

488503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 488503680 is about 22102.1193553921. The cubic root of 488503680 is about 787.5702089079.

The spelling of 488503680 in words is "four hundred eighty-eight million, five hundred three thousand, six hundred eighty".